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Finding the Fourth Proportional to 460,063.20, 634,885.92 and 258,859.20

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Solution

The fourth proportional to 460,063.20, 634,885.92 and 258,859.20 is: 357,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,063.20 : 634,885.92 = 258,859.20 : x
  2. Step 2: Convert to fraction form
    460,063.20/634,885.92 = 258,859.20/x
  3. Step 3: Cross multiply
    460,063.20x = 634,885.92 × 258,859.20
  4. Step 4: Simplify right side
    460,063.20x = 164,346,061,342.46
  5. Step 5: Solve for x
    x = 164,346,061,342.46/460,063.20
  6. Step 6: Final answer
    x = 357,224.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.